Finding the Fourth Proportional to 206,114.61, 284,437.53 and 114,239.75
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Solution
The fourth proportional to 206,114.61, 284,437.53 and 114,239.75 is: 157,650.50
Step by Step Solution
- Step 1: Write the proportion equation
206,114.61 : 284,437.53 = 114,239.75 : x - Step 2: Convert to fraction form
206,114.61/284,437.53 = 114,239.75/x - Step 3: Cross multiply
206,114.61x = 284,437.53 × 114,239.75 - Step 4: Simplify right side
206,114.61x = 32,494,072,317.82 - Step 5: Solve for x
x = 32,494,072,317.82/206,114.61 - Step 6: Final answer
x = 157,650.50
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.